Sentence examples for by imposing that from inspiring English sources
Next we extend g to a Riemannian metric (g_1) on all of (TOmega ) by imposing that (Y_1,ldots,Y_n) is an orthonormal basis.
The average value is: R ¯ 1 ( 1 ) = z 2. Without loss of generality, it is possible to order the points by imposing that r2 > r1.
We can identify these parameters up to a constant of proportionality by imposing that ( {beta}_{lambda}^S = 1 ), a restriction that will preserve the sign and relative magnitudes of the βs.
The only way to solve this would be by imposing that m<m max, in such a way that however, under this restriction on the values of m, the initial condition could not be satisfied (Equation 10).
To deal with the constraint w → ∞ = 1, we introduce a new constraint ∑ j = 1 P w j α j = C and subsequently we fix the constant C by imposing that w → ∞ = 1.
Next, at each time step, we select an agent to initiate a collaboration with probability (p_{i}) proportional to its activity, (p_{i}= eta a_{i}), where η is a rescaling parameter that we fix by imposing that (sum_{i} p_{i}) is equal to the number of collaboration event empirically observed per day.
Instead, it is the government — which does not accept EWTN's religious choice and can punish that choice by imposing fines — that is coercing us.
Cable said that the decision to change the Financial Services Authority's rules today relating to capital requirements meant that the FSA had previously "got it wrong" by imposing rules that were too strict.
Banks make their money from selling other services and by imposing charges that are less visible to customers and thus subject to less competition.
In a 4-to-2 ruling, the Illinois court wrote that the legislature, in enacting the 2005 law, violated the state Constitution's separation of powers clause by imposing decisions that should be reserved for judges and juries.
It looked as if we might follow Australia, which responded to a 1996 gun massacre by imposing restrictions that have resulted in not a single mass shooting there since.
